Note that when we say “Krita is a KDE program”, that doesn’t mean you need to run the Plasma Desktop to run Krita. It means that Krita as a project is proud to be part of the wonderful KDE community and uses the great framework technology that the KDE community develops. You can run Krita on Windows, Gnome, XFCE, and if you spend some effort even on OSX.
There are three versions of Krita: Krita Sketch, for touch devices, Krita Desktop desktop systems and finally Krita Studio, which is like Krita Desktop but supported by KO GmbH. You can find info and the download links for the other Krita programs as well as various Linux ditros on the developer’s download page.